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113442444 = 2234379463
BaseRepresentation
bin1101100001011…
…11111010001100
321220110110210000
412300233322030
5213020124234
615131244300
72545146663
oct660577214
9256413700
10113442444
1159042a95
1231ba9690
131a66c20b
14110cddda
159e5c899
hex6c2fe8c

113442444 has 60 divisors (see below), whose sum is σ = 304608304. Its totient is φ = 36788256.

The previous prime is 113442421. The next prime is 113442467. The reversal of 113442444 is 444244311.

It is an interprime number because it is at equal distance from previous prime (113442421) and next prime (113442467).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 7257 + ... + 16719.

Almost surely, 2113442444 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113442444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152304152).

113442444 is an abundant number, since it is smaller than the sum of its proper divisors (191165860).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113442444 is a wasteful number, since it uses less digits than its factorization.

113442444 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9516 (or 9505 counting only the distinct ones).

The product of its digits is 6144, while the sum is 27.

The square root of 113442444 is about 10650.9362968708. The cubic root of 113442444 is about 484.0889746041.

Adding to 113442444 its reverse (444244311), we get a palindrome (557686755).

The spelling of 113442444 in words is "one hundred thirteen million, four hundred forty-two thousand, four hundred forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 81 108 111 148 162 222 324 333 444 666 999 1332 1998 2997 3996 5994 9463 11988 18926 28389 37852 56778 85167 113556 170334 255501 340668 350131 511002 700262 766503 1022004 1050393 1400524 1533006 2100786 3066012 3151179 4201572 6302358 9453537 12604716 18907074 28360611 37814148 56721222 113442444